Career
Azulay began his career in the youth teams of Maccabi Haifa F.C. In 2009 he joined Maccabi Haifa"s senior team but was loaned to Hapoel Petah Tikva in 2010 before he could debut in Maccabi Haifa. On 31 October 2010, he made his debut in the Israeli Premier League after coming on as a substitute in the 89th minute in a 1-0 loss to his former team, Maccabi Haifa.
After not playing much in Petah Tikva, he was loaned to Hapoel Herzliya from the second division and until the end of the season he scored 3 goals in 13 appearances and helped the team stay in the league. The next season he scored 5 goals in 32 appearances, at the end of the season Hapoel Herzliya was relegated to the third division
In 2013, Azulay signed for Hapoel Rishon LeZion from the second division, he scored 10 goals in 31 appearances and was the team"s top scorer in the 2013-2014 season.
On 21 July 2014, he signed a one-year contract with F.C. Beitar Jerusalem.
On 22 September 2014, Azulay scored his first goal in the Israeli Premier League, in a 1-0 victory over Maccabi Haifa. Overall he scored 4 goals in 34 appearances. Maccabi Tel Aviv F.C.
On 10 August 2015, Azulay signed a four-year contract with Maccabi Tel Aviv.
On 15 August, He made his debut in Maccabi during the Super Cup match after coming on as a substitute in the 67th minute, Maccabi lost 5-4 to Ironi Kiryat Shmona after a penalty shootout.